Abstract:With the introduction of proper partial order relation in the data envelopment analysis method based on the partial ordered set theory, the special relationships between different decision making units are established. However, with the increase of the number of index of input and output data, the relationships between different decision making units decrease. With the introduction of distances between decision making units and proper sample decision making units, the relationships between different decision making units are established, the relations based on the lattice theory of decision making units are provided, and related theorems and algorithms are introduced. Finally, simulation results show the effectiveness and practicability of the proposed method.